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Finding the Third Proportional to 141,285,810,172 and 217,166,419,878

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Solution

The third proportional to 141,285,810,172 and 217,166,419,878 is: 333,800,357,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,285,810,172 : 217,166,419,878 = 217,166,419,878 : x
  2. Step 2: Convert to fraction form
    141,285,810,172/217,166,419,878 = 217,166,419,878/x
  3. Step 3: Cross multiply
    141,285,810,172x = 217,166,419,878 × 217,166,419,878
  4. Step 4: Simplify right side
    141,285,810,172x = 47,161,253,922,627,796,336,640
  5. Step 5: Solve for x
    x = 47,161,253,922,627,796,336,640/141,285,810,172
  6. Step 6: Final answer
    x = 333,800,357,341.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.